In this item, we are asked to determine or calculate for the distance between the points A (1,4) and B(-3,-2)
The distance between the two points can be computed through the equation below.
d = sqrt ((x₂ - x₁)² + (y₂ - y₁)³)
We can choice whichever of the two points will have the first abscissa or the first ordinate. For the purpose of showing the solution here, it is assumed that A has the coordinates of (x₁,y₁) and B (x₂,y₂)
Substituting,
d = sqrt ((-3 - 1)² + (-2 -4)²)
d = 2√13
<em>ANSWER: 2√13 , ~7.21</em>
Answer:
(2, 6) and (-3, -4)
I think, sorry if wrong
Step-by-step explanation:
I'll focus on problem 19 and problem 22
============================================================
Problem 19
Answers:
-------------------------------
Explanation:
The horizontal lines are parallel. Note the arrow markers along the interior portion of the lines. These similar markers tell us how the lines pair up to be parallel to one another.
Since the horizontal lines are parallel, this means the angles in question are congruent. They are corresponding angles.
x+15 = 102
x = 102-15
x = 87
Which leads to
x+15 = 87+15 = 102
============================================================
Problem 22
Answer: y = 27
-------------------------------
Explanation:
We have a pair of alternate exterior angles. They are congruent due to the parallel lines.
Let's solve for y.
7y-55 = 3y+53
7y - 3y = 53+55
4y = 108
y = 108/4
y = 27
Answer:
$25.
Step-by-step explanation:
Let x be the original price of shorts.
We have been given that a store is having a sale in which all items are reduced 20%. The sales tax is 5%.
The price of shorts after 20% off will be:
Since tax is added after the discount, so the price of shorts after including the tax will be:
We are told that including tax, Jennifer paid $21 for a pair of shorts. So we can set an equation as:
Now let us solve for x.
Therefore, the original price of shorts was $25.
The height of the fence is irrelevant. The bottom of the ladder is 3+8 = 11 feet from the building. The window is 14ft above the ground:
sqrt(14^2+11^2) = length of your ladder.
